论文标题

驱动Qubit的时代荧光的变化方法

Variational approach to time-dependent fluorescence of a driven qubit

论文作者

Yan, Yiying, Chen, Lipeng, Luo, JunYan, Zhao, Yang

论文摘要

我们采用Dirac-Frenkel变分原理和多个Davydov Ansatz来研究弱至强Qubit-Ristervoir耦合方案中驱动的Qubit的时间依赖性荧光光谱,其中Rabi频率和自发衰减速率都与Qubit的过渡频率相当。我们的方法与弱耦合方案中的时间本地主方程方法非常吻合,并提供了一种灵活的方法来计算玻感动力学而不是两次相关功能的光谱。尽管扰动主方程在强耦合方程式中崩溃了,但由于在某些条件下使用骨一致状态,我们的方法实际上变得更加准确。我们表明,即使耦合中等较弱,量子和储层之间的反向旋转耦合对光子数动力学和光谱具有相当大的贡献。发现时间依赖性光谱通常是不对称的,这是从光子数动力学得出的特征。此外,由于强烈的耗散和/或多光子的过程,光谱曲线可能与Mollow Triplet截然不同。我们的形式主义提供了一种独特的观点来解释时间相关光谱。

We employ the Dirac-Frenkel variational principle and multiple Davydov ansatz to study time-dependent fluorescence spectra of a driven qubit in the weak- to strong qubit-reservoir coupling regimes, where both the Rabi frequency and spontaneous decay rate are comparable to the transition frequency of the qubit. Our method agrees well with the time-local master-equation approach in the weak-coupling regime, and offers a flexible way to compute the spectra from the bosonic dynamics instead of two-time correlation functions. While the perturbative master equation breaks down in the strong-coupling regime, our method actually becomes more accurate due to the use of bosonic coherent states under certain conditions. We show that the counter-rotating coupling between the qubit and the reservoir has considerable contributions to the photon number dynamics and the spectra under strong driving conditions even though the coupling is moderately weak. The time-dependent spectra are found to be generally asymmetric, a feature that is derived from photon number dynamics. In addition, it is shown that the spectral profiles can be dramatically different from the Mollow triplet due to strong dissipation and/or multiphoton processes associated with the strong driving. Our formalism provides a unique perspective to interpret time-dependent spectra.

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